Scalar Curvature of a Levi-Civita Connection on Cuntz algebra with three generators
arXiv:1901.04794 · doi:10.1007/s11005-019-01202-x
Abstract
A differential calculus on Cuntz algebra with three generators coming from the action of rotation group in three dimensions is introduced. The differential calculus is shown to satisfy Assumptions I-IV of [1] so that Levi-Civita Connection exists uniquely for any pseudo-Riemannian metric in the sense of [1]. Scalar curvature is computed for the Levi-Civita connection corresponding to the canonical bilinear metric.
14 pages